Let \( f(x) = x^3 (x-4)^2 (x^2 + 4) \). Solve the inequality \( f(x) < 0 \) which can also be written as \[ x^3 (x-4)^2 (x^2 + 4) < 0 \]

Q: f(x) = (x+6)² +2 -6x + 19 for for Find ƒ(1) x 3

A: f(x)={(x+6)2+2 for x≤−5−6x+19 for x≥3

Q: Show that f(x)=x5-x3-1 has a zero between 1 and 2.

A:

Q: S(x) =x-5x+1, -2 <x<3

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Q: If f(x) In - In( + o). + e6x, find f (0).

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Q: Horizontal asymetote6) Domainoin Interual notalion!

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Q: Find the roots of the function f(x)=(2x-1)(x2+2x-3) with x belong to R

A: f(x)=(2x-1)(x2+2x-3)=0 We have find all the real numbers that make f(x)=0 because it is given that x…

Q: Show that f(x) = x4 + 4.x + c has at most two real roots for any umber c.

A: Consider the given equation. fx=x4+4x+c Case 1: When c&gt;0. No sign change, by Descartes rule of…

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: 4. Solve x(x + 6)(x – 8)²(x – 1) > 0 by sketching. Express your answer using interval notation.

A:

Q: Give the domain of s(x)=x2+2x√16−5xs(x)=x2+2x16-5x in interval notation

A: Given the functions(x)=x2+2x16−5x

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Q: Find if f (x) = 3x* – 4x3 has any absolute extreme value/values in (-2,+00).

A: Givenf(x)=3x4-4x3To find Absolute maximum and absolute minimum values.

Q: Given f(x)= x^3 − 6x^2+9x, find the multiplicity of the zero at x = 3

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Q: the function f(x) = k(x - s)(x - t)(x - u)^2 has: * O 3 zeros O 4 zeros O no turning points O 4…

A: Zeros of a function are those points where function has value zero. Hence f(x)=0 implies…

Q: Show that the function x- 16 - f (x) = x + 4 4 - 10 x = 4 has a removable discontinuity at x = 4.

A: A real valued univariate function f=f(x) is said to have removable discontinuity at c in its domain…

Q: Calculate R5 for f(x)=4x2+6x over [-1,1]

A: The objective of this question is to calculate the Riemann sum, specifically R5, for the function…

Q: Let f(x)=x−3x−−√3f(x)=x−3x3 Can you please show me how to find what values are concave up or down?

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Q: 2) State the intervals of concavity in the function f (x) = x3 + 2x2 – 4x + 5.

A: We have to determine the intervals for concavity of the function: fx=x3+2x2-4x+5 To check the…

Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

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Q: ,x2

A:

Q: Let f(x) = 6x/x2+3. How do I solve if this is even, odd, or neither?

A: Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. Algebraically, f…

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Q: Use the Intermediate Value Theorem to show 11. f(x)=2x' +3x-1 has a zero between a = 0 and b = 1.

A:

Q: f(x+h)-f(x) The difference quotient is defined as where h + 0. Find m for f(x) = x² – 9

A: Difference equation

Q: ƒ(6) = -tan(x + ²) where -n ≤0 ≤n?

A: we need to graph the function   where explanation and graph in step 2